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Dedekind's η-function and the cohomology of infinite dimensional Lie algebras

We compute the cohomology of certain infinite dimensional Lie algebras which are subalgebras of Lie algebras introduced by Moody and Kac. We note a relation between our results and the cohomology of loop spaces of compact groups. Finally, we derive, by Euler-Poincaré, identities of Macdonald for pow...

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Vydáno v:Proc Natl Acad Sci U S A
Hlavní autor: Garland, Howard
Médium: Artigo
Jazyk:Inglês
Vydáno: National Academy of Sciences 1975
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On-line přístup:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC432793/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592258/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.72.7.2493
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